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     • Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker.
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   Who was Ernst Eduard Kummer?

   • On January 29, 1810, German mathematician Ernst Eduard Kummer was born. One of his major contributions is the introduction of ideal numbers, which are defined as a special subgroup of a ring.

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   What did Ernst Kummer study?

   • Kummer ’s Berlin lectures, always carefully prepared, covered analytic geometry, mechanics, the theory of surfaces, and number theory. For the rest of his life, Ernst Kummer was devoted to geometry. He applied himself with unbroken productivity to ray systems and also considered ballistic problems.

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   What did Kummer discover about number theory?

   • Kummer noticed that they tended to collect near particular values to a surprising degree — a keen observation that would lead to centuries of inquiry in number theory. Abstractions navigates promising ideas in science and mathematics. Journey with us and join the conversation.

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   How did Kummer contribute to the theory of differential equations?

   • Inspired by the work of Sir William Rowan Hamilton on systems of optical rays, Kummer developed the surface (residing in four-dimensional space) now named in his honour. Kummer also extended the work of Carl Friedrich Gauss on the hypergeometric series, adding developments that are useful in the theory of differential equations.

   Ernst Eduard Kummer | Number Theory, Algebraic Geometry ... - Britann…

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3. en.wikipedia.org › wiki › Ernst_KummerErnst Kummer - Wikipedia

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   Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker .

4. www.britannica.com › biography › Ernst-Eduard-KummerErnst Eduard Kummer | Number Theory, Algebraic Geometry ...

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   May 10, 2024 · Ernst Eduard Kummer (born January 29, 1810, Sorau, Brandenburg, Prussia [Germany]—died May 14, 1893, Berlin) was a German mathematician whose introduction of ideal numbers, which are defined as a special subgroup of a ring, extended the fundamental theorem of arithmetic (unique factorization of every integer into a product of primes) to ...

   • Author: The Editors of Encyclopaedia Britannica

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6. www.encyclopedia.com › ernst-eduard-kummerErnst Eduard Kummer | Encyclopedia.com

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   Ernst Eduard Kummer. 1810-1893. German mathematician who worked on the theory of functions and developed the concept of "ideal numbers," which played a major role in most subsequent attempts to solve Fermat's Last Theorem.

7. scihi.org › ernst-kummer-mathematicsErnst Kummer and the Introduction of Ideal Numbers | SciHi Blog

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   Jan 29, 2020 · On January 29, 1810, German mathematician Ernst Eduard Kummer was born. One of his major contributions is the introduction of ideal numbers , which are defined as a special subgroup of a ring. He extended the fundamental theorem of arithmetic to complex number fields .He also discovered the fourth order surface based on the singular surface of ...

8. www.scientificlib.com › ErnstKummerErnst Kummer - Scientific Lib

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   Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. Life.

9. scienceworld.wolfram.com › biography › KummerKummer, Ernst (1810-1893) -- from Eric Weisstein's World of ...

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   Kummer, Ernst (1810-1893) German mathematician who proved Fermat's last theorem for a large class of prime exponents, excluding certain "exceptional primes." He created the theory of ideal numbers in 1846, many years before Dedekind , introduced the theory of ideals (closely related to rings ).

10. www.quantamagazine.org › a-numerical-mystery-fromQuanta Magazine

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    Aug 15, 2022 · In the mid-19th century, the German mathematician Ernst Eduard Kummer was toying with a close relative to these quadratic Gauss sums, where the n 2 in the exponent is replaced by an n 3. Kummer noticed that they tended to collect near particular values to a surprising degree — a keen observation that would lead to centuries of inquiry in ...